| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
What is -2y6 + 5y6?
| 3y6 | |
| 3y36 | |
| 3y12 | |
| 7y6 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:
-2y6 + 5y6
(-2 + 5)y6
3y6
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Roger buys two shirts, each with a regular price of $27, how much will he pay for both shirts?
| $44.55 | |
| $35.10 | |
| $9.45 | |
| $37.80 |
By buying two shirts, Roger will save $27 x \( \frac{35}{100} \) = \( \frac{$27 x 35}{100} \) = \( \frac{$945}{100} \) = $9.45 on the second shirt.
So, his total cost will be
$27.00 + ($27.00 - $9.45)
$27.00 + $17.55
$44.55
11 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?
| 5 | |
| 9 | |
| 7 | |
| 2 |
There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 11 people needing transportation leaving 11 - 9 = 2 who will have to find other transportation.
In a class of 32 students, 14 are taking German and 12 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
| 23 | |
| 24 | |
| 9 | |
| 12 |
The number of students taking German or Spanish is 14 + 12 = 26. Of that group of 26, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 26 - 3 = 23 who are taking at least one language. 32 - 23 = 9 students who are not taking either language.
If \(\left|a\right| = 7\), which of the following best describes a?
a = 7 or a = -7 |
|
a = 7 |
|
a = -7 |
|
none of these is correct |
The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).